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450 is 75% of what number

Sagot :

ogpits
75% = 0.75

450 ÷ 0.75 = 600

450 is 75% 0f 600

Answer:

Let the number be x.

Then, the statement become :450 is 75% of x

to solve for x;

75% of x can be written as [tex]\frac{75}{100} \times x[/tex]

Then,

from the given condition we have;

[tex]\frac{75}{100} \times x =450[/tex]

or

[tex]\frac{3}{4}x =450[/tex]

Multiply both sides by [tex]\frac{4}{3}[/tex] in above equation;

[tex]\frac{3}{4}x \times \frac{4}{3} =450 \times \frac{4}{3}[/tex]

or

[tex]x= \frac{450 \times 4}{3}= 150 \times 4[/tex] = 600

Then, the number x is 600

Therefore,  450 is 75% of 600.

Check:

450 = [tex]\frac{75}{100} \times 600[/tex]

450 = [tex]75 \times 6[/tex]

450=450    [True]



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